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Finding the Fourth Proportional to 313,473.48, 470,289.78 and 145,115.16

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Solution

The fourth proportional to 313,473.48, 470,289.78 and 145,115.16 is: 217,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,473.48 : 470,289.78 = 145,115.16 : x
  2. Step 2: Convert to fraction form
    313,473.48/470,289.78 = 145,115.16/x
  3. Step 3: Cross multiply
    313,473.48x = 470,289.78 × 145,115.16
  4. Step 4: Simplify right side
    313,473.48x = 68,246,176,671.06
  5. Step 5: Solve for x
    x = 68,246,176,671.06/313,473.48
  6. Step 6: Final answer
    x = 217,709.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.